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Finding the Fourth Proportional to 23,677.76, 35,518.40 and 6,147.68

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Solution

The fourth proportional to 23,677.76, 35,518.40 and 6,147.68 is: 9,221.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,677.76 : 35,518.40 = 6,147.68 : x
  2. Step 2: Convert to fraction form
    23,677.76/35,518.40 = 6,147.68/x
  3. Step 3: Cross multiply
    23,677.76x = 35,518.40 × 6,147.68
  4. Step 4: Simplify right side
    23,677.76x = 218,355,757.31
  5. Step 5: Solve for x
    x = 218,355,757.31/23,677.76
  6. Step 6: Final answer
    x = 9,221.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.